07 Jan QuestionThe table below

MATH399 Applied Managerial Statistics

Week 4 Assignment Discrete Probability

QuestionDuring a bowling league tournament, the number of times that teams scored a strike every ten minutes was recorded by a scorekeeper. The table below represents the probability density function for the random variable X, the number of strikes every ten minutes. Find the standard deviation of X.

• Round the final answer to two decimal places.

QuestionThe table below represents the probability density function for the random variable X. Find the standard deviation of X.

• Round the final answer to two decimal places.

QuestionA player can play a game by rolling a fair die several times. The player can win money based on the numbers rolled. The table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). To the nearest dollar, what is the expected payout of the game?

QuestionA player can play a game by rolling a fair die several times. The player can win money based on the numbers rolled. The table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). To the nearest dollar, what is the expected payout of the game?

QuestionWhich of the following tables shows a valid probability density function? Select all correct answers.

$_\boldsymbol{x}$_ $_\boldsymbol{P(X = x)}$_

$_0$_ $_\frac{1}{8}$_

$_1$_ $_\frac{1}{8}$_

$_2$_ $_\frac{1}{8}$_

$_3$_ $_\frac{1}{8}$_

$_4$_ $_\frac{1}{2}$_

\boldsymbol{x} \boldsymbol{P(X = x)}

0 0.5

1 0.4

2 0.1

x P(X=x)

0 25

1 ?110

2 15

3 12

x P(X=x)

0 0.13

1 0.48

2 0.14

3 0.54

x P(X=x)

0 12

1 110

2 110

x P(X=x)

0 18

1 14

2 14

3 38

Question

Which of the following tables shows a valid probability density function? Select all correct answers.

x P(X=x)

0 14

1 12

2 14

x P(X=x)

0 12

1 18

2 14

3 18

x P(X=x)

0 0.0

1 0.02

2 0.16

3 0.0

4 1.07

x P(X=x)

0 0.89

1 0.09

2 0.0

3 0.02

4 0.0

x P(X=x)

0 35

1 25

2 ?110

3 110

x P(X=x)

0 110

1 110

2 310

3 310

QuestionA casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). To the nearest dollar, what is expected payout of the game?

Payout Amount

$160

$4400

$145000

Payout Amount

$160

$4400

$145000

Probability

0.146

0.024

0.0007

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QuestionA casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). To the nearest dollar, what is expected payout of the game?

Payout Amount

$130

$4400

$195000

Payout Amount

$130

$4400

$195000

Probability

0.156

0.023

0.0007

HelpCopy to ClipboardDownload CSV

QuestionWhich of the following tables shows a valid probability density function? Select all correct answers.

x P(X=x)

0 0.6

1 0.01

2 0.14

x P(X=x)

0 310

1 110

2 25

x P(X=x)

0 18

1 14

2 58

x P(X=x)

0 0.13

1 0.09

2 0.45

3 0.27

4 0.06

x P(X=x)

0 ?15

1 310

2 12

3 310

4 110

x P(X=x)

0 12

1 18

2 38

QuestionWhich of the following tables shows a valid probability density function? Select all correct answers.

x P(X=x)

0 0.06

1 0.01

2 0.0

3 0.66

4 0.01

x P(X=x)

0 0.07

1 0.23

2 0.02

3 0.13

4 0.55

x P(X=x)

0 14

1 12

2 14

x P(X=x)

0 38

1 14

2 18

3 14

x P(X=x)

0 15

1 12

2 25

3 110

4 ?15

x P(X=x)

0 15

1 310

2 110

3 110

QuestionThe table below represents the probability density function for the random variable X. Find the standard deviation of X.

• Round the final answer to two decimal places.

QuestionThe table below represents the probability density function for the random variable X. Find the standard deviation of X.

• Round the final answer to two decimal places.